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Finding the Fourth Proportional to 2,361.69, 3,542.55 and 1,129.23

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Solution

The fourth proportional to 2,361.69, 3,542.55 and 1,129.23 is: 1,693.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.69 : 3,542.55 = 1,129.23 : x
  2. Step 2: Convert to fraction form
    2,361.69/3,542.55 = 1,129.23/x
  3. Step 3: Cross multiply
    2,361.69x = 3,542.55 × 1,129.23
  4. Step 4: Simplify right side
    2,361.69x = 4,000,353.74
  5. Step 5: Solve for x
    x = 4,000,353.74/2,361.69
  6. Step 6: Final answer
    x = 1,693.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.